office: Evans 834

Department of Mathematics

University of California, Berkeley

970 Evans Hall

Berkeley, CA 94720

LEC 002, DIS 201: Hearst Field Annex B1, MTuWTh 2-4

office hours: M 4-5, TuTh 1-2, or by appointment

We will use *Linear Algebra Done Right* by Sheldon Axler. An electronic copy should be available here to UCB IP addresses with a CalNet login.

Homework will be due at the beginning of class on the days listed in the schedule below. Late homework will not be accepted.

If you cannot attend my office hours, please send me a list of times when you are free so we can set up a meeting.

More information is included in the syllabus. You can also use this form to send me a question or comment anonymously. (Berkeley login required.)

homework | solutions |
---|---|

hw1 |

6/18 | 1.A | fields | |

6/19 | intro. to proof | ||

6/20 | 1.B-C | vector spaces, subspaces | |

6/21 | 2.A | span, linear Independence | hw 1 due |

6/25 | 2.B-C | bases, dimension | |

6/26 | 3.A | linear maps | quiz 1.A-2.A |

6/27 | 3.B | null spaces, ranges | |

6/28 | 3.C | matrices | hw 2 due |

7/2 | 3.D | invertibility, isomorphism | |

7/3 | 3.F | duality | quiz 2.B-3.C |

7/4 | NO CLASS | ||

7/5 | review | hw 3 due | |

7/9 | EXAM | ||

7/10 | 5.A | invariant subspaces | |

7/11 | 5.B | eigenvectors | |

7/12 | 5.C | diagonalization | hw 4 due |

7/16 | 6.A | inner products, norms | hw 5 due |

7/17 | 6.B | orthonormal bases | |

7/18 | 6.C | orthogonal complements | |

7/19 | 7.A | operators | quiz 5.A-6.A |

7/23 | 7.B | spectral theorem | hw 6 due |

7/24 | extra time | ||

7/25 | review | ||

7/26 | EXAM | ||

7/30 | 8.A | generalized eigenvectors | hw 7 due |

7/31 | 8.B | operator decomposition | |

8/1 | 8.C | characteristic, minimal polynomials | |

8/2 | 8.D | Jordan normal form | hw 8 due |

8/6 | 10.A-B | trace, determinant | hw 9 due |

8/7 | extra time | ||

8/8 | review | hw 10 due | |

8/9 | FINAL | ||